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THE 2-GENERALIZED KNOT GROUP DETERMINES THE KNOT

SAM NELSON

Department of Mathematics, Pomona College, 610 N. College Avenue, Claremont, CA 91711, USA

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and

WALTER D. NEUMANN

Department of Mathematics, Barnard College, Columbia University, New York, NY 10027, USA

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https://doi.org/10.1142/S0219199708003058Cited by:7 (Source: Crossref)

Abstract

Generalized knot groups G_n(K) were introduced independently by Kelly [5] and Wada [10]. We prove that G₂(K) determines the unoriented knot type and sketch a proof of the same for G_n(K) for n > 2.

To the memory of Xiao-Song Lin

Keywords:

AMSC: 57M25

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